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142356300 = 2235217103271
BaseRepresentation
bin10000111110000…
…10111101001100
3100220212110010120
420133002331030
5242420400200
622043104540
73346002642
oct1037027514
9326773116
10142356300
11733a1439
123b812150
13236539c8
1414c99192
15c76e9a0
hex87c2f4c

142356300 has 144 divisors (see below), whose sum is σ = 441971712. Its totient is φ = 35251200.

The previous prime is 142356293. The next prime is 142356323. The reversal of 142356300 is 3653241.

It is a happy number.

142356300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1423563002 = 40530632299380000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525165 + ... + 525435.

It is an arithmetic number, because the mean of its divisors is an integer number (3069248).

Almost surely, 2142356300 is an apocalyptic number.

142356300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142356300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220985856).

142356300 is an abundant number, since it is smaller than the sum of its proper divisors (299615412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142356300 is a wasteful number, since it uses less digits than its factorization.

142356300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 142356300 is about 11931.3159374815. The cubic root of 142356300 is about 522.1463308727.

The spelling of 142356300 in words is "one hundred forty-two million, three hundred fifty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 103 150 170 204 206 255 271 300 309 340 412 425 510 515 542 618 813 850 1020 1030 1084 1236 1275 1355 1545 1626 1700 1751 2060 2550 2575 2710 3090 3252 3502 4065 4607 5100 5150 5253 5420 6180 6775 7004 7725 8130 8755 9214 10300 10506 13550 13821 15450 16260 17510 18428 20325 21012 23035 26265 27100 27642 27913 30900 35020 40650 43775 46070 52530 55284 55826 69105 81300 83739 87550 92140 105060 111652 115175 131325 138210 139565 167478 175100 230350 262650 276420 279130 334956 345525 418695 460700 474521 525300 558260 691050 697825 837390 949042 1382100 1395650 1423563 1674780 1898084 2093475 2372605 2791300 2847126 4186950 4745210 5694252 7117815 8373900 9490420 11863025 14235630 23726050 28471260 35589075 47452100 71178150 142356300